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Finding the Fourth Proportional to 28,842, 39,765.90 and 24,068.82

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Solution

The fourth proportional to 28,842, 39,765.90 and 24,068.82 is: 33,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,842 : 39,765.90 = 24,068.82 : x
  2. Step 2: Convert to fraction form
    28,842/39,765.90 = 24,068.82/x
  3. Step 3: Cross multiply
    28,842x = 39,765.90 × 24,068.82
  4. Step 4: Simplify right side
    28,842x = 957,118,289.24
  5. Step 5: Solve for x
    x = 957,118,289.24/28,842
  6. Step 6: Final answer
    x = 33,184.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.